451682952 has 64 divisors (see below), whose sum is σ = 1302635520. Its totient is φ = 127841088.

The previous prime is 451682941. The next prime is 451682963. The reversal of 451682952 is 259286154.

It is an interprime number because it is at equal distance from previous prime (451682941) and next prime (451682963).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5413 + ... + 30539.

It is an arithmetic number, because the mean of its divisors is an integer number (20353680).

Almost surely, 2^451682952 is an apocalyptic number.

451682952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451682952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651317760).

451682952 is an abundant number, since it is smaller than the sum of its proper divisors (850952568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

451682952 is a wasteful number, since it uses less digits than its factorization.

451682952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25250 (or 25246 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 451682952 is about 21252.8339757313. The cubic root of 451682952 is about 767.2635491278.

The spelling of 451682952 in words is "four hundred fifty-one million, six hundred eighty-two thousand, nine hundred fifty-two".